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Finding the Fourth Proportional to 469.38, 702.51 and 285.87

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Solution

The fourth proportional to 469.38, 702.51 and 285.87 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 702.51 = 285.87 : x
  2. Step 2: Convert to fraction form
    469.38/702.51 = 285.87/x
  3. Step 3: Cross multiply
    469.38x = 702.51 × 285.87
  4. Step 4: Simplify right side
    469.38x = 200,826.53
  5. Step 5: Solve for x
    x = 200,826.53/469.38
  6. Step 6: Final answer
    x = 427.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.